SOLUTION: THE PRODUCT OF TWO NUMBERS IS 16. THE SUM OF THE SQUARE OF THE FIRST PLUS THE SECOND NUMBER IS THE LEAST POSSIBLE. WHAT ARE THE TWO NUMBERS AND SHOW THEY MINIMIZE THE SUM.

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Question 455069: THE PRODUCT OF TWO NUMBERS IS 16. THE SUM OF THE SQUARE OF THE FIRST PLUS THE SECOND NUMBER IS THE LEAST POSSIBLE. WHAT ARE THE TWO NUMBERS AND SHOW THEY MINIMIZE THE SUM.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
THE PRODUCT OF TWO NUMBERS IS 16. THE SUM OF THE SQUARE OF THE FIRST PLUS THE SECOND NUMBER IS THE LEAST POSSIBLE. WHAT ARE THE TWO NUMBERS AND SHOW THEY MINIMIZE THE SUM.
:
x * n = 16
n = 16%2Fx
:
y = x^2 + n
y = x^2 + 16%2Fx
;
Plot this equation you can see the minimum is x=2, then n=8, min sum is 12 (y)
+graph%28+300%2C+200%2C+-2%2C+6%2C+-5%2C+30%2C+x%5E2%2B%2816%2Fx%29%29+